Machine Dynamics Suspended Object Center of Mass Problem Problem Data Varia Valu

Question

Machine Dynamics Suspended Object Center of Mass Problem Problem Data Varia Value Uni ription 0 inches Origin Location. Location of Pivot in X 0 inches Origin Location, Location of Pivot in Y 52 inches Pivot point A of Support location in X Ax .25 inches Pivot point A of Support location in X 20 inches The distance from point Ato point B 52 Inch Radial dist ce from the pivot point to Point Balong the axis of the support ba .25 inches Tangent distance from the axis of the support bar to point B 23 inches Radial distance from the pivot point to point P along the axis of the support bar Tangent distance from the axis of the supportbar to point P. 64 inches Length of the bar from the pivot point to its end. W bar 12 pounds Total weight of just the bar W con 28 pounds Total weight of the container and its contents. 22 pounds The tension in the link from point A to B AB 48 inches distance from Ato B when just hanging (zero nsion and the system COM is through the (Calculate all the quantities in the Value column Solution variabl Value Uni Description OA. nches. The distance from the pivot to point A OB Inches The distance from the pivot to point B radians The angle between the OA and OB computed using the law of cosines angle AOB degrees Angle A Angle of OA measured from x-axis egrees Angle B radians Angle of OB measured from the x-axis egrees AngletoBA The angle gamma between AB and OB egrees Angle AB The angle ofthe tension ve or pointing from B to A with respect to the x-axis degrees nches Cartesian coordinate of B nche Cartesian coordinate of B Angle BarB Angle between OB and the axis of the bar degrees Angle of the axis of the support bar from the x-axi Angle Bar egrees COM barX Cartesian coordinate of the center of mass of the bar COM barY ches Cartesian coordi nate of the center of mass of the bar leoAB 0 The angle between the OA and OB computed using the law of cosines when freely hanging with no ten egrees Angle ofoB measured from the x-axis when freely hanging with no tension Angle 0 egrees Angle of the axis of the support bar from the x-axis when freely hanging with no tension Angle B egrees Angle BOCOM The fixed angle between the OB and the ray from o to the combined COM egrees AngleCOM e of the ray from O to the combined center ofmass with respect to the x-axis with the given tensio egrees Tension X The force component aligned with the x-axis acting at point B Tension Y pounds The force component aligned with the y-axis acting at point B The Cartesian coordinate of the combined center ofmass COM X nches The Cartesian coordinate ofthe combined center ofmass COM Y nches Distance from O to the combined center of mass COM nches COM cont X nches. The Cartesian coordinate of the center of mass of only the container COM cont Y The Cartesian coordinate of the center of mass of only the container A check on the solution to ensure moments are balanced u g the combined mass nts Moments 0 in-lb A check on the solution to ensure moments are balanced using the container mass and bar mass separat Angle BarP radians Angle between OP and the axis of the bar egrees Angle radians e of the vector from 0 to P egrees OP Distance from Oto P nche The Cartesian coordinate of point P inches The Cartesian coordinate of point P The x component of the vector from point P to the container mass center COM cont XP COM cont YIP The y component of the vector from point P to the containcr mass center The location of the container center of mass in the containers local coordinate system (The answer!) COM cont u 2.491928 inche 8.4007093 COM cont nche The lol on of the container cent n the contain rs local coordinate system CThe answe These resul are to help you case calculate these nd compare

Explanation / Answer

use AUTO CAD FOR BETTER UNDERSTANDING

OA = 52.02 inch

OB= 32.02 inch

angle aob = 360 degree or 2 pi radians

angle a = 45 degree

angle b= 90 degree

Angle Aob = 58.386 degree or 1.10185 radians

PROVIDE FIGURE.

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